Kawhi Leonard watched the NBA draft lottery Tuesday night in Las Vegas with the group of prospects he’s been training alongside for the past couple weeks. It meant he wasn’t in the gym shooting – his preference, of course – but it also meant a clearer picture of where he might be playing next season.

And we’re not talking about the end of the 14-team lottery, either.

Perhaps no one has improved his draft fortunes more than San Diego State’s Leonard, the 6-foot-7 shooting guard, small forward, power forward, point forward or whatever else you want him to be. He went from wondering whether he’d be a first-round pick to a late first-rounder to a mid-first rounder to a late lottery pick to the top 10 to where ESPN draft guru Chad Ford pegged him Tuesday evening.

No. 6.

“Kawhi is intriguing,” said Brian Elfus, his agent who lives in Carlsbad. “There have been some teams that have told me straight out that he’s the most versatile, most unique player in the draft. They think he can guard (positions) 1 through 4. And a lot of teams are figuring out that he can shoot a little bit and has more of an offensive game than people realize.

“We’ve had (teams picking) three to 14 reach out to us.”

Cleveland won the draft lottery and the right to pick first on June 23 in Newark, N.J. Minnesota, which had the league’s worst record, is second, followed by Utah, Cleveland again, Toronto and Washington.

The first two picks seem set: Duke’s Kyrie Irving and Arizona’s Derrick Williams. After that, it’s a mish-mash of unproven American college players and foreigners who have big buyouts from their European club contracts – amounting to one of the weaker drafts in years and fertile ground for someone like Leonard to stealthily move up.

He signed with Elfus two weeks ago and immediately went to Las Vegas to Joe Abunassar’s Impact Basketball. Abunassar has been training pro prospects for more than a decade, having 17 players from last year alone being drafted or signed by NBA teams.

Leonard works out twice a day in the gym, at 9 a.m. and 2:30 p.m., sandwiched around a weight-lifting session. But this is Leonard, which means he shows up at 7:45 a.m. for an extra shooting session before the morning workout and then regularly stays late to, as he says, “put up some shots.” The first day, he was there until 11:30 p.m.

“We literally have to kick him out of the gym,” Abunassar said. “It’s like, ‘You have to go home.’ He’ll keep a ball after a workout and go over to a side basket and get someone to rebound for him. Before you know it, he’s into another shooting session.

“I had a team call me about him today. I told them, ‘When you work out Kawhi, it’s like working out an NBA veteran. His focus is phenomenal.’ He just wants it so badly.”

The first order of business was refining his shooting mechanics. Leonard shot a pedestrian 44.4 percent last season at SDSU and a dismal 29.1 percent behind the college three-point arc, which is three feet closer than the NBA line.